Yes—many studio strobes include a built-in continuous light called a modeling lamp (or modeling light). It’s a separate, lower-power lamp positioned close to the flash tube so you can preview where shadows and highlights will fall before firing the strobe.

So in the video, the photographer was most likely using the strobe’s modeling light for setup, then turning it off or simply letting the flash provide the main exposure for the final shot.

Some flash systems can also simulate near-continuous light in limited ways, such as rapid repeated low-power pulses or high-speed sync behavior, but that is not the same as a true continuous light source. For normal studio use, the feature you’re asking about is the modeling lamp.